15742540 has 48 divisors (see below), whose sum is σ = 36368640. Its totient is φ = 5676480.

The previous prime is 15742477. The next prime is 15742549. The reversal of 15742540 is 4524751.

It is a junction number, because it is equal to n+sod(n) for n = 15742499 and 15742508.

It is not an unprimeable number, because it can be changed into a prime (15742549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35641 + ... + 36079.

It is an arithmetic number, because the mean of its divisors is an integer number (757680).

Almost surely, 2^15742540 is an apocalyptic number.

15742540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184320).

15742540 is an abundant number, since it is smaller than the sum of its proper divisors (20626100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15742540 is a wasteful number, since it uses less digits than its factorization.

15742540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 15742540 is about 3967.6869836216. The cubic root of 15742540 is about 250.6253146224.

It can be divided in two parts, 1574 and 2540, that added together give a palindrome (4114).

The spelling of 15742540 in words is "fifteen million, seven hundred forty-two thousand, five hundred forty".